Some questions of Monte-Carlo modeling on nontrivial bundles
Alexander Yu. Vlasov (FRC/IRH)
TL;DR
This paper explores Monte-Carlo modeling challenges on nontrivial fiber bundles, focusing on generating lines in 3D space related to particle interactions, exemplified by the tangent sheaf of a sphere.
Contribution
It investigates Monte-Carlo methods on complex fiber bundles, providing insights into modeling line generation in 3D space with applications in particle interaction simulations.
Findings
Analysis of Monte-Carlo modeling on nontrivial bundles
Application to line generation in 3D space
Insights into fiber bundle structures in modeling
Abstract
In this work are considered some questions of Monte-Carlo modeling on nontrivial bundles. As a basic example is used problem of generation of straight lines in 3D space, related with modeling of interaction of a solid body with a flux of particles and with some other tasks. Space of lines used in given model is example of nontrivial fiber bundle, that is equivalent with tangent sheaf of a sphere.
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Taxonomy
TopicsStochastic processes and financial applications